Every totally or partially blind person who has a dog guide or who obtains a dog guide, every hearing-impaired person who has a hearing aid dog or who obtains a hearing aid dog, and every physically disabled person who has a service dog or obtains a service dog shall have full and equal access to all housing accommodations with such dog as prescribed in sections 20-131.01 to 20-131.04. Such person shall not be required to pay extra compensation for such dog. Such person shall be liable for any damage done to such premises by such dog. Any person who rents, leases, or provides housing accommodations for compensation may demand or receive a reasonable dog deposit, not to exceed one-fourth of one month's periodic rent, from any totally or partially blind person who has or obtains a dog guide, from any hearing-impaired person who has or obtains a hearing aid dog, or from any physically disabled person who has or obtains a service dog.